What are the length of the side of a cube and the volume if the mass of the cube is 50g? the density of the material of cube is 7.8g/cm^3

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The density of an object is given by density = mass/volume.

Let the side of the cube be S.

The volume of a cube of side S = S^3

The mass is 50 g and density is 7.8 g/cm^3

Using the information provided we can create an equation:

7.8 =...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

The density of an object is given by density = mass/volume.

Let the side of the cube be S.

The volume of a cube of side S = S^3

The mass is 50 g and density is 7.8 g/cm^3

Using the information provided we can create an equation:

7.8 = 50/S^3

=> S^3 = 50/7.8 = 6.410 cm^3

The volume of the cube is 6.41 cm^3

S = (50/7.8)^(1/3) = 1.857 cm

The length of the side of the cube is 1.857 cm and the volume is 6.41 cm^3.

Approved by eNotes Editorial Team